Passivity and synchronization of switched coupled reaction–diffusion neural networks with non-delayed and delayed couplings

ABSTRACT

This paper presents a general array model of switched coupled reaction–diffusion neural networks (CRDNNs) with non-delayed and delayed couplings. By utilizing some inequality techniques, we derive several sufficient conditions ensuring the input strict passivity and output strict passivity of the proposed network model. In addition, by constructing an appropriate Lyapunov functional, a sufficient condition is established in the form of linear matrix inequations to guarantee synchronization of CRDNNs with switched topology. Numerical examples with simulation results are provided to demonstrate the effectiveness and correctness of the obtained results.

KEYWORDS:

• Coupled reaction–diffusion neural networks
• synchronization
• switching topology
• input strict passivity
• output strict passivity

2010 AMS SUBJECT CLASSIFICATIONS:

• 35Q93
• 93D05
• 37F15

Acknowledgements

The authors would like to thank the Associate Editor and anonymous reviewers for their valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant numbers 11501411, 61503010, 61173032, 61672171 and 61773285], in part by the Aeronautical Science Foundation of China [grant number 2016ZA51001], and in part by the Fundamental Research Funds for the Central Universities [grant number YWF-18-BJ-Y-108].